Stabilization control for a class of switched nonlinear systems in strict-feedback form

The problem of stabilization control is studied for a class of switched nonlinear systems in strict-feedback form in this paper. By introducing backstepping technique, and utilizing common control Lyapunov technique and Schur lemma, an improved switched control is developed. Compared with the existing literature, the proposed approach fully considers the virtual error term which is generated in backstepping design. The virtual error compensation term is adopted in controller. It is great convenient for stability analysis. By theoretical analysis, the closed-loop control system is shown to be globally uniformly asymptotically stable. Finally, simulation results are presented to illustrate the effectiveness of the proposed approach.